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Popular >

integral of e^u

Solution

\int e^{u} d u

Solution

e^{u} + C

Solution steps

\int e^{u} d u

Use the common integral:

\int e^{u} d u = e^{u}

= e^{u}

Add a constant to the solution

= e^{u} + C

Popular Examples

9*x^2*y^'=y^'+7*x*e^{-y}

9 \cdot x^{2} \cdot y^{^{'}} = y^{^{'}} + 7 \cdot x \cdot e^{- y}

derivative of f(x)=6x^{4/3}-2/3 x^{3/2}+x^2-7x+1 derivative of

f (x) = 6 x^{\frac{4}{3}} - \frac{2}{3} x^{\frac{3}{2}} + x^{2} - 7 x + 1

derivative of cos^2(x/2)

\frac{d}{d x} (cos^{2} (\frac{x}{2}))

y^{''}-2y^'-3y=e^{-t}

y^{^{''}} - 2 y^{^{'}} - 3 y = e^{- t}

derivative of (e^{2x}-e^x+1/(e^x))

\frac{d}{d x} (\frac{e ^{2 x} - e ^{x} + 1}{e ^{x}})

Frequently Asked Questions (FAQ)

What is the integral of e^u ?
The integral of e^u is e^u+C